968164512 has 96 divisors (see below), whose sum is σ = 2953843200. Its totient is φ = 271918848.

The previous prime is 968164511. The next prime is 968164523. The reversal of 968164512 is 215461869.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×968164512⁴ (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (968164511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27439 + ... + 51857.

It is an arithmetic number, because the mean of its divisors is an integer number (30769200).

Almost surely, 2^968164512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968164512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476921600).

968164512 is an abundant number, since it is smaller than the sum of its proper divisors (1985678688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

968164512 is a wasteful number, since it uses less digits than its factorization.

968164512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24498 (or 24490 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 968164512 is about 31115.3420678610. The cubic root of 968164512 is about 989.2735247824.

The spelling of 968164512 in words is "nine hundred sixty-eight million, one hundred sixty-four thousand, five hundred twelve".